33725254368 has 192 divisors, whose sum is σ = 96512532480. Its totient is φ = 10250053632.

The previous prime is 33725254349. The next prime is 33725254397. The reversal of 33725254368 is 86345252733.

It is a super-2 number, since 2×33725254368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61654671 + ... + 61655217.

It is an arithmetic number, because the mean of its divisors is an integer number (502669440).

Almost surely, 2^33725254368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33725254368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48256266240).

33725254368 is an abundant number, since it is smaller than the sum of its proper divisors (62787278112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33725254368 is a wasteful number, since it uses less digits than its factorization.

33725254368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 33725254368 in words is "thirty-three billion, seven hundred twenty-five million, two hundred fifty-four thousand, three hundred sixty-eight".